What is the equation of the line between $(- 17, 12)$ $(-17,12)$ and $(19, 6)$ $(19,6)$ ?

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Answer 1 · 2015-12-26T20:18:47

There are a few ways of doing this, but I'll use the one involving finding the slope of the line and then using it in point slope form.

Say m represents slope.

m = $\frac{6 - 12}{19 - - 17}$ $(6 - 12) / (19 - - 17)$

m = $- \frac{6}{36}$ $-6/36$

m = $- \frac{1}{6}$ $- 1/6$
The slope is $- \frac{1}{6}$ $-1/6$

y - y1 = m(x - x1)

Select your point, say (19, 6), and plug it into the formula shown above.

y - 6 = $- \frac{1}{6}$ $-1/6$ (x - 19)

y - 6 = $- \frac{1}{6} x$ $-1/6x$ + $\frac{19}{6}$ $19/6$

y = $- \frac{1}{6} x$ $-1/6x$ + $\frac{55}{6}$ $55/6$

The equation of your line is y = $- \frac{1}{6} x$ $-1/6x$ + $\frac{55}{6}$ $55/6$

What is the equation of the line between (−17,12)(-17,12) and (19,6)(19,6)?